/ 2 _________ \ 2 _________ | atan (x) 2*\/ 2*x - 1 *atan(x)| atan (x)*\/ 2*x - 1 |----------- + ---------------------|*e | _________ 2 | \\/ 2*x - 1 1 + x /
/ 2 \ |/ __________\ 2 __________ __________ | __________ 2 || atan(x) 2*\/ -1 + 2*x | 2 atan (x) 2*\/ -1 + 2*x 4*atan(x) 4*x*\/ -1 + 2*x *atan(x)| \/ -1 + 2*x *atan (x) ||------------ + --------------| *atan (x) - ------------- + -------------- + --------------------- - ------------------------|*e || __________ 2 | 3/2 2 / 2\ __________ 2 | |\\/ -1 + 2*x 1 + x / (-1 + 2*x) / 2\ \1 + x /*\/ -1 + 2*x / 2\ | \ \1 + x / \1 + x / /
/ 3 \ |/ __________\ 2 __________ __________ / __________\ / 2 __________ __________ \ 2 __________ | __________ 2 || atan(x) 2*\/ -1 + 2*x | 3 3*atan (x) 6 12*x*\/ -1 + 2*x 6*atan(x) 4*\/ -1 + 2*x *atan(x) | atan(x) 2*\/ -1 + 2*x | | atan (x) 2*\/ -1 + 2*x 4*atan(x) 4*x*\/ -1 + 2*x *atan(x)| 12*x*atan(x) 16*x *\/ -1 + 2*x *atan(x)| \/ -1 + 2*x *atan (x) ||------------ + --------------| *atan (x) + ------------- + ---------------------- - ----------------- - ---------------------- - ---------------------- - 3*|------------ + --------------|*|------------- - -------------- - --------------------- + ------------------------|*atan(x) - ---------------------- + --------------------------|*e || __________ 2 | 5/2 2 3 / 2\ 3/2 2 | __________ 2 | | 3/2 2 / 2\ __________ 2 | 2 3 | |\\/ -1 + 2*x 1 + x / (-1 + 2*x) / 2\ __________ / 2\ \1 + x /*(-1 + 2*x) / 2\ \\/ -1 + 2*x 1 + x / |(-1 + 2*x) / 2\ \1 + x /*\/ -1 + 2*x / 2\ | / 2\ __________ / 2\ | \ \1 + x / *\/ -1 + 2*x \1 + x / \1 + x / \ \1 + x / \1 + x / / \1 + x / *\/ -1 + 2*x \1 + x / /